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Finding the Fourth Proportional to 38,288, 52,840.68 and 21,524.24

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Solution

The fourth proportional to 38,288, 52,840.68 and 21,524.24 is: 29,705.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,288 : 52,840.68 = 21,524.24 : x
  2. Step 2: Convert to fraction form
    38,288/52,840.68 = 21,524.24/x
  3. Step 3: Cross multiply
    38,288x = 52,840.68 × 21,524.24
  4. Step 4: Simplify right side
    38,288x = 1,137,355,478.08
  5. Step 5: Solve for x
    x = 1,137,355,478.08/38,288
  6. Step 6: Final answer
    x = 29,705.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.